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Finding the Third Proportional to 278.71 and 586.26

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Solution

The third proportional to 278.71 and 586.26 is: 1,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.71 : 586.26 = 586.26 : x
  2. Step 2: Convert to fraction form
    278.71/586.26 = 586.26/x
  3. Step 3: Cross multiply
    278.71x = 586.26 × 586.26
  4. Step 4: Simplify right side
    278.71x = 343,702.23
  5. Step 5: Solve for x
    x = 343,702.23/278.71
  6. Step 6: Final answer
    x = 1,233.17

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.